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Properties

Label 11.240-189.0.2-4-6.1
Genus \(11\)
Quotient genus \(0\)
Group \(C_2\times S_5\)
Signature \([ 0; 2, 4, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $11$
Quotient genus: $0$
Group name: $C_2\times S_5$
Group identifier: $[240,189]$
Signature: $[ 0; 2, 4, 6 ]$
Conjugacy classes for this refined passport: $6, 8, 13$

Jacobian variety group algebra decomposition:$E^{5}\times E^{6}$
Corresponding character(s): $10, 13$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.240-189.0.2-4-6.1.1

  (1,34) (2,212) (3,40) (4,76) (5,113) (6,59) (7,217) (8,50) (9,111) (10,28) (11,109) (12,202) (13,105) (14,41) (15,78) (16,64) (17,207) (18,75) (19,26) (20,43) (21,54) (22,192) (23,60) (24,116) (25,93) (27,197) (29,91) (30,48) (31,89) (32,182) (33,85) (35,118) (36,104) (37,187) (38,115) (39,46) (42,232) (44,96) (45,73) (47,237) (49,71) (51,69) (52,222) (53,65) (55,98) (56,84) (57,227) (58,95) (61,94) (62,152) (63,100) (66,119) (67,157) (68,110) (70,88) (72,142) (74,101) (77,147) (79,86) (80,103) (81,114) (82,132) (83,120) (87,137) (90,108) (92,122) (97,127) (99,106) (102,172) (107,177) (112,162) (117,167) (121,154) (123,160) (124,196) (125,233) (126,179) (128,170) (129,231) (130,148) (131,229) (133,225) (134,161) (135,198) (136,184) (138,195) (139,146) (140,163) (141,174) (143,180) (144,236) (145,213) (149,211) (150,168) (151,209) (153,205) (155,238) (156,224) (158,235) (159,166) (164,216) (165,193) (169,191) (171,189) (173,185) (175,218) (176,204) (178,215) (181,214) (183,220) (186,239) (188,230) (190,208) (194,221) (199,206) (200,223) (201,234) (203,240) (210,228) (219,226)
  (1,166,91,236) (2,100,64,168) (3,237,165,194) (4,228,62,40) (5,114,143,97) (6,191,96,141) (7,90,109,193) (8,142,200,224) (9,153,107,50) (10,29,173,87) (11,156,81,186) (12,95,59,158) (13,187,150,169) (14,183,57,105) (15,79,238,92) (16,221,86,171) (17,85,34,223) (18,172,235,159) (19,178,32,75) (20,44,188,82) (21,126,71,216) (22,80,104,128) (23,217,125,234) (24,208,102,60) (25,94,163,77) (26,231,76,161) (27,70,89,233) (28,162,240,204) (30,49,133,67) (31,176,61,226) (33,227,170,129) (35,119,218,72) (36,201,66,131) (37,65,54,203) (38,132,215,179) (39,138,52,115) (41,146,111,196) (42,120,84,148) (43,197,145,214) (45,74,123,117) (46,211,116,121) (47,110,69,213) (48,122,220,184) (51,136,101,206) (53,207,130,149) (55,99,198,112) (56,181,106,151) (58,152,195,139) (63,177,225,134) (68,202,140,164) (73,127,210,229) (78,232,175,219) (83,157,185,174) (88,222,180,144) (93,167,230,189) (98,192,155,239) (103,137,205,154) (108,182,160,124) (113,147,190,209) (118,212,135,199)
  (1,144,143,81,224,223) (2,150,37,240,112,135) (3,221,64,63,161,4) (5,127,45,167,25,147) (6,174,173,91,159,158) (7,165,47,145,27,125) (8,156,109,108,196,9) (10,137,80,192,55,162) (11,239,238,86,194,193) (12,235,102,190,77,140) (13,191,59,58,146,14) (15,122,30,157,120,232) (16,189,188,96,169,168) (17,200,72,175,42,130) (18,166,34,33,231,19) (20,132,115,222,70,197) (21,164,163,61,204,203) (22,170,57,220,92,155) (23,201,104,103,121,24) (26,134,133,71,179,178) (28,176,89,88,236,29) (31,219,218,66,234,233) (32,215,82,230,117,160) (35,142,50,177,100,212) (36,229,228,76,129,128) (38,126,54,53,211,39) (40,152,95,202,110,237) (41,124,123,101,184,183) (43,181,84,83,141,44) (46,154,153,111,139,138) (48,136,69,68,216,49) (51,199,198,106,214,213) (52,195,62,210,97,180) (56,209,208,116,149,148) (60,172,75,182,90,217) (65,187,105,227,85,207) (67,225,107,205,87,185) (73,131,119,118,206,74) (78,226,94,93,171,79) (98,186,114,113,151,99)